Finding the Fourth Proportional to 10,892, 15,031.20 and 5,924

Step by Step Solution

1. Step 1: Write the proportion equation
   10,892 : 15,031.20 = 5,924 : x
2. Step 2: Convert to fraction form
   10,892/15,031.20 = 5,924/x
3. Step 3: Cross multiply
   10,892x = 15,031.20 × 5,924
4. Step 4: Simplify right side
   10,892x = 89,044,828.80
5. Step 5: Solve for x
   x = 89,044,828.80/10,892
6. Step 6: Final answer
   x = 8,175.25